Question

Nina makes the scale drawing shown of a rectangular room that needs new carpet

Answer 1

We are given

rectangle

length is 6 inches

so, $L=6inch$

width is 4 inches

so, $W=4inch$

now, we can find area

$Area=length*width$

$Area=L*W$

now, we can plug values

$Area=6*4 in^2$

$Area=24 in^2$

now, we are given scale

$\frac{1}{4} in=2ft$

we can take square both sides

$\frac{1}{4^2} in^2=2^2 ft^2$

$\frac{1}{16} in^2=4 ft^2$

now,  we can find 1 in^2

$1 in^2=16*4 ft^2$

now, we can multiply both sides by 24

$24*1 in^2=24*16*4 ft^2$

$24 in^2=1536 ft^2$

so,

Area of rectangle is 1536 feet^2..........Answer